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PHYSICS 12
Kinematics
𝑣 = 𝑣0 + 𝑎𝑡 𝑣 =𝑣 + 𝑣0
2
𝑣2 = 𝑣02 + 2𝑎𝑑 𝑑 = 𝑣0𝑡 +
1
2𝑎𝑡2
Special Relativity
𝑡 =𝑡0
√1−𝑣2
𝑐2
𝑚 =𝑚0
√1−𝑣2
𝑐2
𝑙 = 𝑙0√1 −𝑣2
𝑐2 𝑣 𝑡𝑜𝑡𝑎𝑙 =
𝑣1+ 𝑣2
1+𝑣1𝑣2
𝑐2
𝐸 = 𝑚𝑐2
Forces 𝐹𝑛𝑒𝑡 = 𝑚𝑎 𝐹𝑔 = 𝑚𝑔 𝐹𝑓𝑟 = 𝜇𝐹𝑁
Equilibrium 𝜏 = 𝑑𝐹 ∑ 𝑇𝑐𝑤 = ∑ 𝑇𝑐𝑐𝑤 ∑ 𝐹 = 0 Circular Motion
𝑇 =1
𝑓 𝐹𝑐 = 𝑚𝑎𝑐 𝑎𝑐 =
𝑣2
𝑟=
4𝜋2 𝑟
𝑇2
Fields
𝐹𝑔 = 𝐺𝑚 𝑀
𝑟2 𝐹𝑒 = 𝑘𝑄1𝑄
2
𝑟2 𝐹𝑏 = 𝑄𝑣𝐵 𝐹𝑏 = 𝐵𝐼𝑙
𝑔 = 𝐺𝑀
𝑟2 𝐸 = 𝑘𝑄
𝑟2 𝐵 = 𝜇0 𝑁
𝑙 I
𝑔 =𝐹𝑔
𝑚 𝐸 =
𝐹𝑒
𝑄 ϕ = BA
𝑃𝐸𝑔 = −𝐺𝑚 𝑀
𝑟 𝑃𝐸𝑒 = 𝑘
𝑄1𝑄2
𝑟 ℰ = 𝐵𝑙𝑣
𝑉 = 𝑘𝑄
𝑟 ℰ = −𝑁
∆ϕ
∆𝑡
∆𝑉 =∆𝐸𝑝
𝑄 ℰ = 𝑉𝑏𝑎𝑐𝑘 + 𝐼𝑟
∆𝑉 = 𝐸𝑑 𝑉𝑠
𝑉𝑝=
𝑁𝑠
𝑁𝑝=
𝐼𝑝
𝐼𝑠
Draft for Review June 2017
Momentum 𝑝 = 𝑚𝑣 Δ𝑝 = 𝐹𝑛𝑒𝑡Δ𝑡 ∑ 𝑝𝑖 = ∑ 𝑝𝑖 Electromagnetic Waves
𝑛 =𝑐
𝑣
𝑛1 sin(𝜃1) = 𝑛2 sin(𝜃2)
𝑣 = 𝑓𝜆
p = 𝐸
𝑐
𝐸 = ℎ𝑓 = ℎ𝑐
𝜆
𝑊0 = ℎ𝑓0 𝐾𝐸𝑚𝑎𝑥 = ℎ𝑓 − 𝑊0
𝜆 = ℎ
𝑝
Draft for Review June 2017